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The plaid model /
Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behaviour even for simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of billiards. 'The P...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, New Jersey :
Princeton University Press,
[2019]
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| Colección: | Annals of mathematics studies ;
no. 198. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behaviour even for simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of billiards. 'The Plaid Model', which is a self-contained sequel to Schwartz's 'Outer Billiards on Kites', provides a combinatorial model for orbits of outer billiards on kites. The combinatorial model, called 'the plaid model', has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be very difficult to reach through traditional maths. The work includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration. |
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| Descripción Física: | 1 online resource |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9780691188997 0691188998 |